Zum satz von ljapunov in vektorverbänden
作者:
Wolfgang Thämelt,
期刊:
Mathematische Operationsforschung und Statistik. Series Optimization
(Taylor Available online 1978)
卷期:
Volume 9,
issue 1
页码: 79-87
ISSN:0323-3898
年代: 1978
DOI:10.1080/02331937808842468
出版商: Akademic-Verlag
数据来源: Taylor
摘要:
LetKbe a closed convex order-bounded set of an order-complete vector lattice and letAbe a him continuous linear operator. Then the equalityAK=A(extK) is proved, where extKis the set of all extremal points ofK. It is shown that various generalizations of the Ljapunov-theorem on the range of vector-measures are special cases of this general statement.
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